- #1

castrodisastro

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## Homework Statement

A clock based on a simple pendulum is situated outdoors in Anchorage, Alaska. The pendulum consists of a mass of

**1.00kg**that is hanging from a thin brass rod that is

**2.000m**long. The clock is calibrated perfectly during a summer day with an average temperature of

**19.5°C**. During the winter, the average temperature over one

**24-h**period is

**−25.5°C**. Find the time elapsed for that period according to the simple pendulum clock.

**T**= 19.5 °C = 292.5 K

_{initial}**T**= -25.5 °C = 247.5 K

_{final}**ΔT**= -45 K

**m**= 1.00 kg

_{p}**L**= 2.00 m

_{rod}**α**=19*10

_{brass}^{-6}/°C

## Homework Equations

**L**

_{total}=L+α(ΔT)L**T=2[itex]\pi\sqrt{}(L/G)[/itex]**

## The Attempt at a Solution

I calculate the change in length due to the linear expansion of the brass rod

**L**=(2.00 m)+(19*10

_{total}^{-6})(45 K)(2.00 m)

**L**=(2.00 m)+(-1.71*10

_{total}^{-3})

**L**=(1.9983 m)

_{total}The I calculated the length of the period.

**T**=2pi(1.99/(9.81m/s

^{2}))

^{[itex]\frac{1}{2}[/itex]}

**T**=2pi(0.451 s)

**T**=2.8358 s

I submitted this answer to my online homework but it was incorrect. I think it has something to do with how the question includes "...winter, the average temperature over one 24 -h period is -25.5 °C. Find the time elapsed for that period according..." but I don't understand if it is asking for something more.

Any Help is appreciated.

Thanks in advance

Please don't be rude

I will gladly provide more information on my calculations.